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Finding the Fourth Proportional to 271,861.60, 407,688.40 and 89,449.92

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Solution

The fourth proportional to 271,861.60, 407,688.40 and 89,449.92 is: 134,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,861.60 : 407,688.40 = 89,449.92 : x
  2. Step 2: Convert to fraction form
    271,861.60/407,688.40 = 89,449.92/x
  3. Step 3: Cross multiply
    271,861.60x = 407,688.40 × 89,449.92
  4. Step 4: Simplify right side
    271,861.60x = 36,467,694,764.93
  5. Step 5: Solve for x
    x = 36,467,694,764.93/271,861.60
  6. Step 6: Final answer
    x = 134,140.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.